I need to completely simplify this expression and show all steps to the following: 3[5x-2 (x-4y) ]+6y

3[5x - 2 (x - 4y) ] + 6y

3[5x - 2 (x) + 2 (4y) ] + 6y

3[ (5x - 2x + 8y) ] + 6y

3[ (3x + 8y) ] + 6y

3[ (3x) ] + 3[ (8y) ] + 6y

9x + 24y + 6y

9x + 30y

Simplifying 3[5x + - 2 (x + - 4y) ] + 6y = 0

3[5x + (x * - 2 + - 4y * - 2) ] + 6y = 0

3[5x + (-2x + 8y) ] + 6y = 0

Combine like terms: 5x + - 2x = 3x

3[3x + 8y] + 6y = 0

[3x * 3 + 8y * 3] + 6y = 0

[9x + 24y] + 6y = 0

Combine like terms: 24y + 6y = 30y

9x + 30y = 0

Solving 9x + 30y = 0

Move all terms containing x to the left, all other terms to the right.

Add '-30y' to each side of the equation.

9x + 30y + - 30y = 0 + - 30y

Combine like terms: 30y + - 30y = 0

9x + 0 = 0 + - 30y

9x = 0 + - 30y

Remove the zero: 9x = - 30y

Divide each side by '9'. x = - 3.333333333y

Simplifying x = - 3.333333333y